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Finding the Third Proportional to 3,601.97 and 3,979.13

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Solution

The third proportional to 3,601.97 and 3,979.13 is: 4,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.97 : 3,979.13 = 3,979.13 : x
  2. Step 2: Convert to fraction form
    3,601.97/3,979.13 = 3,979.13/x
  3. Step 3: Cross multiply
    3,601.97x = 3,979.13 × 3,979.13
  4. Step 4: Simplify right side
    3,601.97x = 15,833,435.77
  5. Step 5: Solve for x
    x = 15,833,435.77/3,601.97
  6. Step 6: Final answer
    x = 4,395.77

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.